449860101120 has 528 divisors, whose sum is σ = 1620699312960. Its totient is φ = 115238043648.

The previous prime is 449860101073. The next prime is 449860101121. The reversal of 449860101120 is 21101068944.

449860101120 is a `hidden beast` number, since 4 + 49 + 8 + 601 + 0 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×449860101120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (449860101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303343899 + ... + 303345381.

Almost surely, 2^449860101120 is an apocalyptic number.

449860101120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449860101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810349656480).

449860101120 is an abundant number, since it is smaller than the sum of its proper divisors (1170839211840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449860101120 is a wasteful number, since it uses less digits than its factorization.

449860101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 449860101120 in words is "four hundred forty-nine billion, eight hundred sixty million, one hundred one thousand, one hundred twenty".